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Math Help - Find an antiderivative

  1. #1
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    Find an antiderivative

    Find an antiderivative F(x) with F'(x) = f(x) and F(0)=0

    f(x)=5e^x

    What does the F(0)=0 mean and how do I use that to solve this problem? Any help will be very appreciated!
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  2. #2
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    Re: Find an antiderivative

    Hey kuppina.

    F(0)=0 means that for a function F(x) if you substitute x = 0 then you get the answer 0.

    Hint: if F(x) = 5e^x + C = 0 when x = 0, then what is C?
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    Re: Find an antiderivative

    Quote Originally Posted by chiro View Post
    Hey kuppina.

    F(0)=0 means that for a function F(x) if you substitute x = 0 then you get the answer 0.

    Hint: if F(x) = 5e^x + C = 0 when x = 0, then what is C?
    Hi chiro. Would C be 5? I have to do this all by hand and I want to make sure I get the right answer.
    Thank you!
    Last edited by kuppina; January 25th 2013 at 05:50 PM.
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  4. #4
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    Re: Find an antiderivative

    If F(0) = 0 then this means that F(0) = 5*e^0 + C = 5 + C = 0. So what does this imply?
    Thanks from kuppina
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  5. #5
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    Re: Find an antiderivative

    Quote Originally Posted by chiro View Post
    If F(0) = 0 then this means that F(0) = 5*e^0 + C = 5 + C = 0. So what does this imply?
    -5. Thank you so much!
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